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Variational approaches based on neural networks are showing promise for estimating mutual information (MI) between high dimensional variables. However, they can be difficult to use in practice due to poorly understood bias/variance…

Machine Learning · Computer Science 2020-03-25 Jiaming Song , Stefano Ermon

A novel derivative-free algorithm, optimization by moving ridge functions (OMoRF), for unconstrained and bound-constrained optimization is presented. This algorithm couples trust region methodologies with output-based dimension reduction to…

Optimization and Control · Mathematics 2021-01-07 James C. Gross , Geoffrey T. Parks

This paper demonstrates dynamic hyper-parameter setting, for deep neural network training, using Mutual Information (MI). The specific hyper-parameter studied in this paper is the learning rate. MI between the output layer and true outcomes…

Machine Learning · Computer Science 2018-06-27 Shrihari Vasudevan

This paper discusses the critical decision process of extracting or selecting the features in a supervised learning context. It is often confusing to find a suitable method to reduce dimensionality. There are pros and cons to deciding…

Machine Learning · Computer Science 2022-06-22 Jean-Sébastien Dessureault , Daniel Massicotte

A new method for clustering functional data is proposed via information maximization. The proposed method learns a probabilistic classifier in an unsupervised manner so that mutual information (or squared loss mutual information) between…

Applications · Statistics 2023-06-08 Xinyu Li , Jianjun Xu , Haoyang Cheng

Performing effective preference-based data retrieval requires detailed and preferentially meaningful structurized information about the current user as well as the items under consideration. A common problem is that representations of items…

Artificial Intelligence · Computer Science 2011-01-13 Joachim Selke , Wolf-Tilo Balke

We propose an approach to self-supervised representation learning based on maximizing mutual information between features extracted from multiple views of a shared context. For example, one could produce multiple views of a local…

Machine Learning · Computer Science 2019-07-09 Philip Bachman , R Devon Hjelm , William Buchwalter

Since its inception, the neural estimation of mutual information (MI) has demonstrated the empirical success of modeling expected dependency between high-dimensional random variables. However, MI is an aggregate statistic and cannot be used…

Machine Learning · Computer Science 2020-10-16 Yao-Hung Hubert Tsai , Han Zhao , Makoto Yamada , Louis-Philippe Morency , Ruslan Salakhutdinov

Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

Quantitative Methods · Quantitative Biology 2007-05-23 Alexander Kraskov , Harald Stögbauer , Ralph G. Andrzejak , Peter Grassberger

Choosing which properties of the data to use as input to multivariate decision algorithms -- a.k.a. feature selection -- is an important step in solving any problem with machine learning. While there is a clear trend towards training…

High Energy Physics - Phenomenology · Physics 2022-12-02 Ranit Das , Gregor Kasieczka , David Shih

This paper studies simultaneous feature selection and extraction in supervised and unsupervised learning. We propose and investigate selective reduced rank regression for constructing optimal explanatory factors from a parsimonious subset…

Methodology · Statistics 2016-10-27 Yiyuan She

Side information is being used extensively to improve the effectiveness of sequential recommendation models. It is said to help capture the transition patterns among items. Most previous work on sequential recommendation that uses side…

Information Retrieval · Computer Science 2023-02-22 Yujie Lin , Zhumin Chen , Zhaochun Ren , Chenyang Wang , Qiang Yan , Maarten de Rijke , Xiuzhen Cheng , Pengjie Ren

Typical person re-identification (re-ID) methods train a deep CNN to extract deep features and combine them with a distance metric for the final evaluation. In this work, we focus on exploiting the full information encoded in the deep…

Computer Vision and Pattern Recognition · Computer Science 2018-11-22 Yong Liu , Lin Shang , Andy Song

Most deep learning methods for video frame interpolation consist of three main components: feature extraction, motion estimation, and image synthesis. Existing approaches are mainly distinguishable in terms of how these modules are…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Moritz Nottebaum , Stefan Roth , Simone Schaub-Meyer

Data augmentation is an essential technique for improving recognition accuracy in object recognition using deep learning. Methods that generate mixed data from multiple data sets, such as mixup, can acquire new diversity that is not…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Shungo Fujii , Yasunori Ishii , Kazuki Kozuka , Tsubasa Hirakawa , Takayoshi Yamashita , Hironobu Fujiyoshi

High-dimensional classification is a fundamentally important research problem in high-dimensional data analysis. In this paper, we derive a nonasymptotic rate for the minimax excess misclassification risk when feature dimension…

Statistics Theory · Mathematics 2023-03-07 Shuoyang Wang , Zuofeng Shang

Conditional Mutual Information (CMI) is a measure of conditional dependence between random variables X and Y, given another random variable Z. It can be used to quantify conditional dependence among variables in many data-driven inference…

Machine Learning · Computer Science 2019-06-10 Sudipto Mukherjee , Himanshu Asnani , Sreeram Kannan

Mutual Information (MI) is an useful tool for the recognition of mutual dependence berween data sets. Differen methods for the estimation of MI have been developed when both data sets are discrete or when both data sets are continuous. The…

Applications · Statistics 2017-08-30 Miguel A. Ré , Guillermo G. Aguirre Varela

A novel image matching method is proposed that utilizes learned features extracted by an off-the-shelf deep neural network to obtain a promising performance. The proposed method uses pre-trained VGG architecture as a feature extractor and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Ufuk Efe , Kutalmis Gokalp Ince , A. Aydin Alatan

This paper describes a distributed MapReduce implementation of the minimum Redundancy Maximum Relevance algorithm, a popular feature selection method in bioinformatics and network inference problems. The proposed approach handles both…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-08 Claudio Reggiani , Yann-Aël Le Borgne , Gianluca Bontempi